find the equation that describes the set of points (x,y,z) that are 5 units from the point (2,-1,6)

Question

zepdrix · Answer

Hmmmm can you imagine what shape this function will take? :)

If we have a point.. and our function is 5 units from this point in every direction. :x
We could think of 5 as our *cough* radius *cough*!

anonymous · Answer

a circle!! :O

zepdrix · Answer

Good good :) But in 3-dimenionssssssssss it's a ....?

anonymous · Answer

sphere

anonymous · Answer

so do you use the same standard equation but with another for the third point?

zepdrix · Answer

Yes we start with the standard equation,$$\Large x^2+y^2+z^2=r^2$$

It looks like in this case 5 will be our r.
And we need to `shift` x,y, and z based on the `center point` that they gave us.

anonymous · Answer

(x+2)^2 + (x+1)^2 + (x-6)^2 =5^2

zepdrix · Answer

Hmm not sure why all of those are x's :) lol

anonymous · Answer

oh yeah theyd be x,y,z

zepdrix · Answer

And your first shift looks a little off, maybe that was a typo.
If our point is at x=2, our first bracket should be,$$\large (x-2)^2$$

anonymous · Answer

oh yeah that was a typo :) THANKS!!!!!!!!!!